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Finding the Fourth Proportional to 6,229.59, 8,596.78 and 3,435.09

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Solution

The fourth proportional to 6,229.59, 8,596.78 and 3,435.09 is: 4,740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.59 : 8,596.78 = 3,435.09 : x
  2. Step 2: Convert to fraction form
    6,229.59/8,596.78 = 3,435.09/x
  3. Step 3: Cross multiply
    6,229.59x = 8,596.78 × 3,435.09
  4. Step 4: Simplify right side
    6,229.59x = 29,530,713.01
  5. Step 5: Solve for x
    x = 29,530,713.01/6,229.59
  6. Step 6: Final answer
    x = 4,740.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.